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Centrality and normality in protomodular categories
Theory and applications of categories, CT2000, Tome 9 (2001), pp. 151-165 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We analyse the classical property of centrality of equivalence relations in terms of normal monomorphisms. For this purpose, the internal structure of connector is introduced, allowing to clarify classical results in Maltsev categories and to prove new ones in protomodular categories. This approach allows to work in the general context of finitely complete categories, without requiring the usual Barr exactness assumption.

Classification : 18D35, 08B05, 08C05.
Keywords: Maltsev and protomodular categories, abstract normal subobject, centrality of equivalence relations. 
@article{TAC_2001_9_a7,
     author = {Dominique Bourn and Marino Gran},
     title = {Centrality and normality in protomodular categories},
     journal = {Theory and applications of categories},
     pages = {151--165},
     year = {2001},
     volume = {9},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2001_9_a7/}
}
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Dominique Bourn; Marino Gran. Centrality and normality in protomodular categories. Theory and applications of categories, CT2000, Tome 9 (2001), pp. 151-165. http://geodesic.mathdoc.fr/item/TAC_2001_9_a7/